Two triangles are similar if two angles of one triangle are congruent to two angles of another triangle. 2. If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. 3. Two triangles are similar if two corresponding sides of two triangles are in proportion. 4 Triangles are similar if an angle of one triangle is congruent to an angle of another triangle and the corresponding sides including those angles are in proportion. 5. Two special right triangles include 45°-45°-90° triangle and 30" - 60 - 90% triangle